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BHU PMT BHU PMT (Mains) Solved Paper-2006

  • question_answer
    If the atom\[_{100}F{{m}^{257}}\]follows the Bohr's model and the radius of\[_{100}F{{m}^{257}}\]is n times the Bohr radius, then find n:

    A)  100                                       

    B)  200

    C)  4                                            

    D)  \[\frac{1}{4}\]

    Correct Answer: D

    Solution :

                     \[{{r}_{m}}=\left( \frac{{{m}^{2}}}{z} \right)(0.53{\AA})=(r\times 0.53{\AA})\] \[\therefore \]  \[\frac{{{m}^{2}}}{z}=n\] Here\[m=5\]for\[_{100}F{{m}^{257}}\] (the outermost shell) and\[z=100\] \[\therefore \]  \[n=\frac{{{(5)}^{2}}}{100}=\frac{1}{4}\]


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